Coefficients 55451

Write a system of 3 linear equations with 3 variables (x. Y. z), which has all non-zero coefficients and a solution x= 2+t, y=3-2t, z=t, where t€R. The fact that the system has all non-zero coefficients means that all numbers in the extended matrix of the system are non-zero.

Correct answer:

r = 0

Step-by-step explanation:

x= 2+t y=32t z=t  x = 2+z y = 32z z = z  x z = 2 y +2x = 3  x z = 2 y +2x = 3 3x3z=6  r=0

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